- In geometry, a
diagonal is a line
segment joining two
vertices of a
polygon or polyhedron, when
those vertices are not on the same edge. Informally, any...
- {\displaystyle {\begin{pmatrix}0&2&0\\0&0&3\\0&0&0\end{pmatrix}}} Likewise, a
subdiagonal entry is one that is
directly below and to the left of the main diagonal...
- be exact, an
upper Hessenberg matrix has zero
entries below the
first subdiagonal, and a
lower Hessenberg matrix has zero
entries above the
first superdiagonal...
- band
matrix that has
nonzero elements only on the main diagonal, the
subdiagonal/lower
diagonal (the
first diagonal below this), and the supradiagonal/upper...
- {\displaystyle \Sigma } 124.23 = Σ d i a g o n a l + 2 × Σ s u b d i a g o n a l {\displaystyle 124.23=\Sigma _{diagonal}+2\times \Sigma _{
subdiagonal}}...
- \\0&0&0&\times &0\end{pmatrix}}{\text{.}}} Each new
rotation zeroes out
another subdiagonal element, thus
increasing the
number of
known zeroes until we are at H...
- a
series of
Givens rotations. Each
rotation zeroes an
element in the
subdiagonal of the matrix,
forming the R matrix. The
concatenation of all the Givens...
- 1)-matrix.
Shift matrix A
matrix with ones on the
superdiagonal or
subdiagonal and
zeroes elsewhere. aij = δi+1,j or aij = δi−1,j
Multiplication by...
- matrix, a
square matrix that has
either zero
entries below the
first subdiagonal, zero
entries above the
first superdiagonal, or both
Hessian matrix,...
- a
Lehmer matrix is a
tridiagonal matrix,
where the
superdiagonal and
subdiagonal have
strictly negative entries.
Consider again the n×n A and m×m B Lehmer...
